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Finding the Fourth Proportional to 1,247.65, 1,872.06 and 598.39

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Solution

The fourth proportional to 1,247.65, 1,872.06 and 598.39 is: 897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.65 : 1,872.06 = 598.39 : x
  2. Step 2: Convert to fraction form
    1,247.65/1,872.06 = 598.39/x
  3. Step 3: Cross multiply
    1,247.65x = 1,872.06 × 598.39
  4. Step 4: Simplify right side
    1,247.65x = 1,120,221.98
  5. Step 5: Solve for x
    x = 1,120,221.98/1,247.65
  6. Step 6: Final answer
    x = 897.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.